Details

sample84.0ms

Algorithm

intervals

Results

24.0ms	505×	pre	80	true
16.0ms	117×	body	320	valid
11.0ms	249×	body	80	nan
8.0ms	92×	body	160	valid
3.0ms	20×	body	640	valid
1.0ms	27×	body	80	valid

simplify156.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	82	16
4	104	16
5	112	16
done	112	16

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.9b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
0.3b	(* (* 3.0 a) c)
28.1b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`prod-diff`
15×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
7×	`fma-neg`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `associate-r` `pow-prod-down` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

9.0ms	(- (* b b) (* (* 3.0 a) c))
180.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
31.0ms	(* (* 3.0 a) c)
81.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series415.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* b b) (* (* 3.0 a) c))
170.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
34.0ms	(* (* 3.0 a) c)
134.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.1s

Counts

121 → 121

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	201	2338
1	495	2065
2	1675	1747
done	5000	1676

prune467.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize13.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune33.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

14.0ms	(/ (* a c) b)
25.0ms	(* -1.5 (/ (* a c) b))
39.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series115.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ (* a c) b)
42.0ms	(* -1.5 (/ (* a c) b))
31.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (307.0ms)

Iter	Nodes	Cost
0	129	1138
1	353	1097
2	1740	813
done	5000	813

prune268.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.3b	(* a (/ c b))
0.3b	(* -1.5 (* a (/ c b)))
0.4b	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
14×	`associate-r`
12×	`cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
11×	`times-frac`
10×	`pow1`
6×	`associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r` `associate-/l/` `associate-/l`

Counts

3 → 89

Calls

3 calls:

26.0ms	(* a (/ c b))
24.0ms	(* -1.5 (* a (/ c b)))
48.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series120.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* a (/ c b))
49.0ms	(* -1.5 (* a (/ c b)))
26.0ms	(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify1.3s

Counts

98 → 98

Iterations

Useful iterations: 2 (418.0ms)

Iter	Nodes	Cost
0	145	1170
1	393	1123
2	1913	839
done	5000	839

prune202.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 2.2b

regimes356.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.6b and baseline of 6.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample4.7s

Algorithm

intervals

Results

1.5s	3641×	body	320	valid
907.0ms	2959×	body	160	valid
718.0ms	16012×	pre	80	true
684.0ms	8012×	body	80	nan
217.0ms	504×	body	640	valid
64.0ms	896×	body	80	valid